User:Qqd/List of all non-strobing self-complementary OT rules
< User:Qqd
The following is the list of all 256 non-strobing (which in this case is identical to not having the B0 but always having the S8 transition) self-complementary outer-totalistic rules.
| Rulestring | Name | Description |
|---|---|---|
| B/S012345678 | Identity rule | This is the only rule where every configuration of cells remains unchanged on evolution. This also means that every pattern is a still life and that there exist no gardens of Eden as the rule is reversible. |
| B1/S01234568 | ||
| B2/S01234578 | ||
| B12/S0123458 | ||
| B3/S01234678 | ||
| B13/S0123468 | ||
| B23/S0123478 | ||
| B123/S012348 | ||
| B4/S01235678 | ||
| B14/S0123568 | ||
| B24/S0123578 | ||
| B124/S012358 | ||
| B34/S0123678 | ||
| B134/S012368 | ||
| B234/S012378 | ||
| B1234/S01238 | ||
| B5/S01245678 | ||
| B15/S0124568 | ||
| B25/S0124578 | ||
| B125/S012458 | ||
| B35/S0124678 | ||
| B135/S012468 | ||
| B235/S012478 | ||
| B1235/S01248 | ||
| B45/S0125678 | ||
| B145/S012568 | ||
| B245/S012578 | ||
| B1245/S01258 | ||
| B345/S012678 | ||
| B1345/S01268 | ||
| B2345/S01278 | ||
| B12345/S0128 | ||
| B6/S01345678 | ||
| B16/S0134568 | ||
| B26/S0134578 | ||
| B126/S013458 | ||
| B36/S0134678 | ||
| B136/S013468 | ||
| B236/S013478 | ||
| B1236/S01348 | ||
| B46/S0135678 | ||
| B146/S013568 | ||
| B246/S013578 | ||
| B1246/S01358 | ||
| B346/S013678 | ||
| B1346/S01368 | ||
| B2346/S01378 | ||
| B12346/S0138 | ||
| B56/S0145678 | ||
| B156/S014568 | ||
| B256/S014578 | ||
| B1256/S01458 | ||
| B356/S014678 | ||
| B1356/S01468 | ||
| B2356/S01478 | ||
| B12356/S0148 | ||
| B456/S015678 | ||
| B1456/S01568 | ||
| B2456/S01578 | ||
| B12456/S0158 | ||
| B3456/S01678 | ||
| B13456/S0168 | ||
| B23456/S0178 | ||
| B123456/S018 | ||
| B7/S02345678 | ||
| B17/S0234568 | ||
| B27/S0234578 | ||
| B127/S023458 | ||
| B37/S0234678 | ||
| B137/S023468 | ||
| B237/S023478 | ||
| B1237/S02348 | ||
| B47/S0235678 | ||
| B147/S023568 | ||
| B247/S023578 | ||
| B1247/S02358 | ||
| B347/S023678 | ||
| B1347/S02368 | ||
| B2347/S02378 | ||
| B12347/S0238 | ||
| B57/S0245678 | ||
| B157/S024568 | ||
| B257/S024578 | ||
| B1257/S02458 | ||
| B357/S024678 | ||
| B1357/S02468 | ||
| B2357/S02478 | ||
| B12357/S0248 | ||
| B457/S025678 | ||
| B1457/S02568 | ||
| B2457/S02578 | ||
| B12457/S0258 | ||
| B3457/S02678 | ||
| B13457/S0268 | ||
| B23457/S0278 | ||
| B123457/S028 | ||
| B67/S0345678 | ||
| B167/S034568 | ||
| B267/S034578 | ||
| B1267/S03458 | ||
| B367/S034678 | ||
| B1367/S03468 | ||
| B2367/S03478 | ||
| B12367/S0348 | ||
| B467/S035678 | ||
| B1467/S03568 | ||
| B2467/S03578 | ||
| B12467/S0358 | ||
| B3467/S03678 | ||
| B13467/S0368 | ||
| B23467/S0378 | ||
| B123467/S038 | ||
| B567/S045678 | ||
| B1567/S04568 | ||
| B2567/S04578 | ||
| B12567/S0458 | ||
| B3567/S04678 | ||
| B13567/S0468 | ||
| B23567/S0478 | ||
| B123567/S048 | ||
| B4567/S05678 | ||
| B14567/S0568 | ||
| B24567/S0578 | ||
| B124567/S058 | ||
| B34567/S0678 | ||
| B134567/S068 | ||
| B234567/S078 | ||
| B1234567/S08 | ||
| B8/S12345678 | ||
| B18/S1234568 | ||
| B28/S1234578 | ||
| B128/S123458 | ||
| B38/S1234678 | ||
| B138/S123468 | ||
| B238/S123478 | ||
| B1238/S12348 | ||
| B48/S1235678 | ||
| B148/S123568 | ||
| B248/S123578 | ||
| B1248/S12358 | ||
| B348/S123678 | ||
| B1348/S12368 | ||
| B2348/S12378 | ||
| B12348/S1238 | ||
| B58/S1245678 | ||
| B158/S124568 | ||
| B258/S124578 | ||
| B1258/S12458 | ||
| B358/S124678 | ||
| B1358/S12468 | ||
| B2358/S12478 | ||
| B12358/S1248 | ||
| B458/S125678 | ||
| B1458/S12568 | ||
| B2458/S12578 | ||
| B12458/S1258 | ||
| B3458/S12678 | ||
| B13458/S1268 | ||
| B23458/S1278 | ||
| B123458/S128 | ||
| B68/S1345678 | ||
| B168/S134568 | ||
| B268/S134578 | ||
| B1268/S13458 | ||
| B368/S134678 | ||
| B1368/S13468 | ||
| B2368/S13478 | ||
| B12368/S1348 | ||
| B468/S135678 | ||
| B1468/S13568 | ||
| B2468/S13578 | ||
| B12468/S1358 | ||
| B3468/S13678 | ||
| B13468/S1368 | ||
| B23468/S1378 | ||
| B123468/S138 | ||
| B568/S145678 | ||
| B1568/S14568 | ||
| B2568/S14578 | ||
| B12568/S1458 | ||
| B3568/S14678 | ||
| B13568/S1468 | ||
| B23568/S1478 | ||
| B123568/S148 | ||
| B4568/S15678 | ||
| B14568/S1568 | ||
| B24568/S1578 | ||
| B124568/S158 | ||
| B34568/S1678 | ||
| B134568/S168 | ||
| B234568/S178 | ||
| B1234568/S18 | ||
| B78/S2345678 | ||
| B178/S234568 | ||
| B278/S234578 | ||
| B1278/S23458 | ||
| B378/S234678 | ||
| B1378/S23468 | ||
| B2378/S23478 | ||
| B12378/S2348 | ||
| B478/S235678 | ||
| B1478/S23568 | ||
| B2478/S23578 | ||
| B12478/S2358 | ||
| B3478/S23678 | ||
| B13478/S2368 | ||
| B23478/S2378 | ||
| B123478/S238 | ||
| B578/S245678 | ||
| B1578/S24568 | ||
| B2578/S24578 | ||
| B12578/S2458 | ||
| B3578/S24678 | ||
| B13578/S2468 | ||
| B23578/S2478 | ||
| B123578/S248 | ||
| B4578/S25678 | ||
| B14578/S2568 | ||
| B24578/S2578 | ||
| B124578/S258 | ||
| B34578/S2678 | ||
| B134578/S268 | ||
| B234578/S278 | ||
| B1234578/S28 | ||
| B678/S345678 | ||
| B1678/S34568 | ||
| B2678/S34578 | ||
| B12678/S3458 | ||
| B3678/S34678 | Day and night | The most well-known and well-studied self-complementary rule. |
| B13678/S3468 | ||
| B23678/S3478 | ||
| B123678/S348 | ||
| B4678/S35678 | ||
| B14678/S3568 | ||
| B24678/S3578 | ||
| B124678/S358 | ||
| B34678/S3678 | ||
| B134678/S368 | ||
| B234678/S378 | ||
| B1234678/S38 | ||
| B5678/S45678 | ||
| B15678/S4568 | ||
| B25678/S4578 | ||
| B125678/S458 | ||
| B35678/S4678 | ||
| B135678/S468 | ||
| B235678/S478 | ||
| B1235678/S48 | ||
| B45678/S5678 | ||
| B145678/S568 | ||
| B245678/S578 | ||
| B1245678/S58 | ||
| B345678/S678 | ||
| B1345678/S68 | ||
| B2345678/S78 | ||
| B12345678/S8 |